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Finding the Fourth Proportional to 296,693.66, 409,438.29 and 160,727.26

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Solution

The fourth proportional to 296,693.66, 409,438.29 and 160,727.26 is: 221,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,693.66 : 409,438.29 = 160,727.26 : x
  2. Step 2: Convert to fraction form
    296,693.66/409,438.29 = 160,727.26/x
  3. Step 3: Cross multiply
    296,693.66x = 409,438.29 × 160,727.26
  4. Step 4: Simplify right side
    296,693.66x = 65,807,895,989.16
  5. Step 5: Solve for x
    x = 65,807,895,989.16/296,693.66
  6. Step 6: Final answer
    x = 221,804.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.